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Chapter 1: Q 9. (page 51)

List the intercepts and test for symmetry:x2+y=9.

Short Answer

Expert verified

The equation is identical to the original equation it is symmetric to yaxis.

The graph if the line shown below.

Step by step solution

01

Step 1. Given information.

Consider the given equationx2+y=9.

02

Step 2.  If x,y exist on graph then the graph is symmetric about x-axis ,y-axis and origin.Showing the line is symmetric about y axis.

To show that the line is symmetric to yaxis put -xin place of x.

y=--x2+9

y=-x2+9

Since the equation is in original form so it is symmetric toyaxis.

03

Step 3. List the intercept.

x y x,y
0 9 0,9
1 8 1,8
2 5 2,5
3 0 3,0
04

Step 4. plot the graph.

The graph for the given equationx2+y=9is shown below.

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